The Predator manuals you can pretty much throw right in the garbage. Useless. I'm not sure if it is a language barrier when they are translated or what, but every piece of Harbor Freight equipment with a gas engine the manuals make no sense and leave a lot to be desired.
I've done tons of Predator engine swaps over the years for customers. You generally want to change the break-in oil after a couple hours, and do that a few times because they seem to shed material for a little while. By the third oil change I usually stop seeing so much metal. You can run pretty much anything for oil as long as you keep it full, I prefer a HDEO like Rotella 15w40, but 10w30 PCMO is more than fine.
The one thing I do recommend is change out the "Torch" factory spark plug with an equivalent NGK. The Torch plugs have a high rate of failure. So high that I now incorporate an NGK plug into my re-power cost for customers, because I occasionally had no-start come backs with the Torch plugs.